Blevins announced via his personal Twitter account Tuesday that he elected to retire from professional baseball.
Blevins was reassigned to minor-league camp Sunday.
Blevins signed a minor-league contract with the Mets on Friday, Bob Nightengale of USA Today reports.
Blevins was released by the Giants in March, Baseball America reports.
Blevins signed a minor-league contract with San Francisco on Monday, which includes an invitation to spring training, Ken Rosenthal of The Athletic reports.
Blevins allowed a run on one hit and two walks over two innings of relief in Tuesday's loss to the Brewers.
Blevins' contract was selected by the Braves on Saturday.
Blevins was designated for assignment by the Braves on Tuesday, Mark Bowman of MLB.com reports.
Blevins' contract was selected by the Braves on Sunday.
Blevins was acquired by the Braves on Sunday in exchange for cash or a player to be named, Susan Slusser of the San Francisco Chronicle reports.